The relationship equation between the area of the garden and one of the dimensions is a quadratic equation.
Correct responses:
- The width of the garden is 4 meters
- The length of the garden is 15 meters
Methods use to obtain the above response
Given:
Perimeter of the garden = 38 m
Area of the garden = 60 sq. m
Required:
Dimensions of the garden.
Solution:
Let x represent the width of the garden and let y represent the length.
We have;
2·x + 2·y = 38
x × y = 60
Therefore;
2·y = 38 - 2·x
y = 19 - x
x × (19 - x) = 60
19·x - x² = 60
Which gives;
(x - 15)·(x - 4) = 0
x = 15 or x = 4
Therefore;
When the width of the rectangular garden, x = 4, the length of the garden is y = 19 - 4 = 15
- Width of the rectangular garden = 4
- Length of the garden = 15
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